HADAMARD PRODUCTS AND SCHWARTZ FUNCTIONS

被引：0

作者：

Hegde, Devadatta G. ^{[1
]}

机构：

[1] Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期

关键词：

D O I：

10.1090/proc/16371

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that functions of the form Pi(n >= 1) (1+x(2)/a(n)(2))(-1) (a(n) > 0) are in the Schwartz space of the real line whenever the infinite product converges uniformly on compact subsets of C, answering a question of Bill Casselman. We also include a different proof due to Jean-Loup Waldspurger.

引用

页码：4537 / 4541

页数：5

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